'gladly provide' is correct and usable in written English.
You can use it when offering something to someone. For example, "I would gladly provide you with a list of reference materials for your project."
Utilities or electrical contractors will gladly provide a free survey and recommendations.
There is no mileage in thinking voters will gladly provide extra tax money if politicians can get their sticky fingers on it.
This gives you another opportunity to ask for additional contacts, something they will gladly provide given how professionally you handled the first referral.
And again, if a "speaker maintains that the great thing about him is that he has never been in anxiety, I will gladly provide him with my explanation: that is because he is very spiritless.
I will gladly provide all these services, while recording everything you do and sharing this information with random unscrupulous strangers, if you or any of your friends has ever succumbed to the desire to take a personality quiz.
J. J. Abbott, his spokesman, said that in a perfect world — one in which the legislature was not dominated by Republicans, as he put it — he would gladly provide even more support for working families.
He asked for her e-mail address, which she gladly provided.
His parents did their best to foster this activity and would have gladly provided him with conventional drawing materials.
I began to work with Twitter followers, including ones who gladly provided graphic design work for nearly every rally.
The employees gladly provided wood, screws, hinges, and magnets, but they were skeptical about Jeanie's idea.
I have found that my health insurance company gladly provided me another nine-digit identifying number when I refused to provide my Social Security number.
